There is a table in the living room of a house with a length of √x+6 and a breadth of √x+5 . Determine the area of the table in terms of x. Hence determine the the area of the table if x=1.5​

Step-by-step explanation:

Cross multiply to get

8 (x-1) = 2 (x+2)

8x -8 = 2x + 4

6x = 12

x = 2

There are 1026 went up for 1140 stocks went down.

We have to given that;

The stock market report says that 9 stocks went up for every 10 stocks that went down.

Since, We know that;

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Let us assume that,

Number of went up for 1140 stocks went down is, x

Hence, By definition of proportion, we get;

9 / 10 = x / 1140

x = 9 x 1140 / 10

x = 9 x 114

x = 1,026

Thus, Number of went up for 1140 stocks went down is, 1,026

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Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

Combining the information from the Latitude and longitude, we can conclude that Pretoria is situated in a north-eastern direction from Cape Town.

The general direction of Pretoria from Cape Town is North-East.

Cape Town is a coastal city located in the southwestern part of South Africa, while Pretoria is an inland city situated in the northeastern part of the country. To determine the general direction between the two cities, we consider their geographic coordinates.

Cape Town is approximately at a latitude of 33.9249° S and a longitude of 18.4241° E, while Pretoria is around 25.7479° S latitude and 28.2293° E longitude.

When we compare the latitude values, we see that Cape Town is situated further south than Pretoria. Therefore, the general direction from Cape Town to Pretoria is north.

Next, if we compare the longitude values, we observe that Cape Town has a significantly smaller longitude value compared to Pretoria. This indicates that Pretoria is situated more to the east.

Combining the information from the latitude and longitude, we can conclude that Pretoria is situated in a north-eastern direction from Cape Town.

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To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

Step-by-step explanation:

Area of circle (pi r^2 ) - area of rectangle (W x H)   =  shaded area

      pi (4^2) -  (5 x 6 ) = 20.3 in^2

The polar form of the rectangular coordinates (4√3, -4) is (8, -π/6).

To convert rectangular coordinates (x, y) to polar form (r, θ), we can use the following formulas:

r = √(x² + y²)

θ = arctan(y/x)

Given (4√3, -4) as the rectangular coordinates

we can substitute the values into the formulas:

r = √((4√3)² + (-4)²) = √(48 + 16) = √64 = 8

θ = arctan((-4)/(4√3))

= arctan(-1/√3)

= -π/6 (since -π/6 is in the range 0 ≤ θ < 2π)

Therefore, the polar form of the rectangular coordinates (4√3, -4) is (8, -π/6).

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The table of values when the missing parts are completed is

In      7    15    20    22   9        x      (y - 1)/3    2x        x + 3

Out  22   46   61    67   28   3x + 1      y         6x + 1    3x + 10

From the question, we have the following parameters that can be used in our computation:

The table of values

On the table of values, we can see that

The output value is 1 more than three times the input value

This can be expressed as

y = 3x + 1

When In = 22, we have

Out = 3 * 22 + 1 = 67

When Out = 28, we have

3 * In + 1 = 28

In = 9

When In = x, we have

Out = 3 * x + 1 = 3x + 1

When Out = y, we have

3 * In + 1 = y

In = (y - 1)/3

When In = 2x, we have

Out = 3 * 2x + 1 = 6x + 1

When In = x + 3, we have

Out = 3 * (x + 3) + 1 = 3x + 10

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Hello !

7          v

--    =   ---

5          6

v = 7 x 6 ÷ 5 = 8.4 (it's a decimal)

Answer:

8.4

Step-by-step explanation:

Make v the subject of the 'formula, by placing 6 towards the other side.

This can be done by multiplying 6 in both sides, so the left side of the formula is 7/5 * 6, while the right is remained with v/1 (since 1/6 * 6 is 1).

Now v = 7/5 * 6 which equals to: 8.4.

Question also says round to the nearest tenth, 8.4 is already rounded to the nearest tenth so the final answer is 8.4

The passing grade should be set to 10 out of 15, which means a student needs to get at least 10 correct answers to pass the quiz.

Let X be the number of correct answers a student gets by guessing on each question. Since each question is true/false, the probability of guessing correctly is 0.5. Then, X follows a binomial distribution with parameters n = 15 and p = 0.5.

To find the passing grade, we need to find the minimum number of correct answers a student needs to pass the quiz. Let k be the passing grade. Then, the probability of passing by guessing is:

P(X ≥ k) = 1 - P(X < k)

Using the binomial probability formula, we can calculate:

P(X < k) = Σi=0k-1 (15 choose i) 0.5^15

We want to find the value of k such that P(X < k) is less than 0.1, or equivalently, P(X ≥ k) is greater than or equal to 0.9. We can use a calculator or a table to find that the smallest k that satisfies this condition is k = 10.

Therefore, the passing grade should be set to 10 out of 15, which means a student needs to get at least 10 correct answers to pass the quiz.

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Answer: 8.5

Step-by-step explanation: 45-45-90 triangle will always have the same length of legs. The hypotenuse will be the leg length times √2

a^2+b^2=c^2

A and B are the same.

6^2+6^2=6√2✅

6√2=8.5✅

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = [tex]ar^n^-^1[/tex]

6th term = [tex]23*(4)^6^-^1[/tex]

[tex]=23*4^5[/tex]

[tex]=23*1024[/tex]

[tex]=23552[/tex]

Hope this helps :)

Pls brainliest...

Answer:

D. 4, 5, 6, then 

H² = P² + B²

6² = 5² + 4²

36 = 25 + 16 

36 ≠ 41

This is not Pythagorean triple.

The expected value (to you) of one raffle ticket is -$2.737.

The expected value (to you) if you purchase 12 raffle tickets is -$32.84.

The expected value (to the PTO) of one raffle ticket is $2.737.

Amount of money raised if 300 tickets are sold is $821.1.

Cost of a ticket = $3

P(winning a ticket) = 1/300

Winning amount = $76

Prize value = 1/300 × $76 = $0.253

Expected value (to you) for 1 ticket = $0.253 + (299/300 × -$3) = -$2.737

Expected value (to you) if you purchase 12 tickets = 12 × -$2.737

                                                                                   = -$32.84

Expected value (to the PTO) of raffle ticket = -$0.253 + (299/300 × $3)

                                                                       = $2.737

If they sell 300 tickets,

Expected value = 300 × $2.737 = $821.1

Amount raised = $821.1

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Answer:

12% more than 72 is

80.64

Step-by-step explanation:

its:

[tex]\pi \times {r}^{2} \times h[/tex]

Step-by-step explanation:

Trapezium area = height   x   average of bases

the bases are the parallel sides   13 and 5

    average = (13+5) / 2 = 9 mm

Area = 10 mm * 9 mm = 90 mm^2  = .9 cm^2

Once you have the weight and length, you can use the formula:

BMI = weight (in kg) / height² (in meters²).

The weight from lb to kg and the length from inches to meters before applying the formula.

The specific Road to Health Chart contained in ANNEXURE G.

The Road to Health Chart and calculate BMI.

The age of a baby at a specific weight percentile:

To determine the age of a baby whose weight places her at the 75th percentile curve you would need to refer to the specific chart.

Locate the weight of 26 lb on the chart and find the corresponding age.

The chart typically provides a range of ages for each percentile curve, allowing you to estimate the age of the baby.

Calculating BMI:

To calculate the BMI (Body Mass Index) for Jay's baby you need both the weight and the length of the baby.

Since the length is given in percentile you would need to find the corresponding measurement value on the chart.

By plugging in the appropriate values you can calculate the BMI in the form of kg/cm².

Remember not to round off the answer as specified.

The specific Road to Health Chart in ANNEXURE G to obtain accurate information for these calculations.

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Answer:

  65.12 m²

Step-by-step explanation:

You want the area of a trapezoid with bases 13.1 m and 5 m, and height 7.2 m.

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

  A = 1/2(13.1 m + 5 m)(7.2 m) = 65.16 m²

The area is 65.16 m².

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Answer:

1,-4(u+1)+6u=2(u+2)-8

Step-by-step explanation:

=-4u-4+6u=2u+4-8

=2u-4=2u-4

=2u-2u=-4+4

=0=0

2,2(y-1)+4y=3(y-1)+7

=2y-2+4y=3y-3+7

=6y-2=3y+4

=6y-3y=4+2

=3y/3=6/3=y=2

: all real numbers are solutions

Answer:

The statement you provided describes a situation in which the cost of apples at a local market is directly proportional to the weight of the apples. This means that as the weight of the apples increases, the cost also increases at a constant rate. The graph mentioned in the statement would show this relationship between the weight of apples in pounds and the cost in dollars.

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Answer:

How to calculate growth rate percentage?

To calculate the percentage growth rate, use the basic growth rate formula:

Subtract the original from the new value and divide the results by the original value. To turn that into a percent increase, multiply the results by 100.

Answer:

Sn = n÷2[2a+(n-1)d]

=18÷2[2(16)+(18-1)(-9)]

Sn=-1089

Step-by-step explanation:

First write out the formula for sum in arithmetic series

Then substitute the given information

Then punch everything as it is together with the signs to get the answer

Using cosine addition formula, the value of cos(a + b) is -16/25

Using cosine addition formula, the exact value of cos (a + b) is calculated as;

cos(a + b) = cos a × cos b - sin a × sin b

Our given data;

cos a = 4/5,  0 < a < π/2

cos b = 5/13, -π/2 < b < 0

Using Pythagorean identity;

sin a and sin b;

sin² x + cos² x = 1

To solve for a;

sin a = √(1 - cos² a) = √(1 - (4/5)²) = √(1 - 16/25) = √(9/25) = 3/5

Solving for b;

sin b = √(1 - cos² b) = √(1 - (5/13)²) = √(1 - 25/169) = √(144/169) = 12/13

Substituting the values into cosine addition formula

cos(a + b) = (4/5) * (5/13) - (3/5) * (12/13)

cos(a + b) = (20/65) - (36/65)

cos(a + b) = -16/65

Therefore, the exact value of cos(a + b) is -16/65.

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Answer:

The total number of marbles is 10, the number of blue marbles is 3, and the red marbles are 4.

Step-by-step explanation:

have a nice day.

The new gravitational force between the two planets, when they are moved to two million miles apart, is 250,000 N.

The new gravitational force between the two planets, when they are moved to two million miles apart, can be calculated using the inverse square law of gravity, resulting in a gravitational force of 250,000 N.

Let's denote the initial distance between the planets as d1 (1 million miles) and the corresponding gravitational force as F1 (1,000,000 N).

The final distance between the planets is denoted as d2 (2 million miles), and we need to find the new gravitational force, F2.

According to the inverse square law of gravity, the relationship between distance and gravitational force is as follows:

[tex]F1 / F2 = (d2^2) / (d1^2)[/tex]

Substituting the given values:

[tex]1,000,000 N / F2 = (2,000,000^2) / (1,000,000^2)[/tex]

Simplifying:

1,000,000 N / F2 = 4

Cross-multiplying:

F2 = 1,000,000 N / 4

F2 = 250,000 N.

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Check the picture below.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{AB}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{6} \end{cases} \\\\\\ AB=\sqrt{ 6^2 + 6^2}\implies AB=\sqrt{ 36 + 36 } \implies AB=\sqrt{ 72 }\implies AB=6\sqrt{2}[/tex]